{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Mixture Density Networks with PyTorch ##\n",
    "\n",
    "Related posts:\n",
    "\n",
    "JavaScript [implementation](http://blog.otoro.net/2015/06/14/mixture-density-networks/).\n",
    "\n",
    "TensorFlow [implementation](http://blog.otoro.net/2015/11/24/mixture-density-networks-with-tensorflow/)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import torch\n",
    "import math\n",
    "from torch.autograd import Variable\n",
    "import torch.nn as nn"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Simple Data Fitting ###"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Before we talk about MDN's, we try to perform some simple data fitting using PyTorch to make sure everything works. To get started, let's try to quickly build a neural network to fit some fake data. As neural nets of even one hidden layer can be universal function approximators, we can see if we can train a simple neural network to fit a noisy sinusoidal data, like this ( $\\epsilon$  is just standard gaussian random noise):\n",
    "\n",
    "$y=7.0 \\sin( 0.75 x) + 0.5 x + \\epsilon$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "After importing the libraries, we generate the sinusoidal data we will train a neural net to fit later:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "NSAMPLE = 1000\n",
    "x_data = np.float32(np.random.uniform(-10.5, 10.5, (1, NSAMPLE))).T\n",
    "r_data = np.float32(np.random.normal(size=(NSAMPLE,1)))\n",
    "y_data = np.float32(np.sin(0.75*x_data)*7.0+x_data*0.5+r_data*1.0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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fR6s2Qj0UQhgbX/bx4/i2T52itrghC2MgVGArirJ8zCVwU2tCi2TOlVUKGzNWXJ8ZjQcH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iGK04mNW08PEsV6eiDOdjs6lY2N4TXNzbhexsdFLl3CNVRWho3eI4+YddcPPcQNHyEkIRTshaCT\nkqJRxCpv3IBVtHEjFuNTp2B1c6FNT3QTHL8fguvxzLZoAwG4qC9eRCOc9evNTmb19XBn9/ZCpP/4\nj0VefRVucLcbIj02BtF2OpFlvm6duTk4e5YlW4SQeaFgLwSdlFRVhcV2wwaU7egym6oqiPbPfgZr\n6fBhLr7phtX1HY81i3zPHiQZhkKwonftgljn5SHe/Oyz2LhVVYkcOyZy6xb+XV8P97lhJE5wY8kW\nIWQeKNgLIRjEotvYKPLuu1iEdQxTl/Hs2oXXtLbCEqfFlDlYs8h370ZcORyGRd3Tg03ck0+KfO97\n5jn3+URqaszabqXw9d57eE1zM7wyIizZIoQsCGaJLwSdlKSTzQoLzSQltxs/t7QgC/jyZSzoHKWZ\nOVizyCsqsHHr7sZmzefDkI7Cwtnv83qR2/D449jEORxwhQ8PY0SnzhhnyRYhZAHQwl4I1qSkWAzZ\nvRMTcHNq96hhYNE1DFjZkUhyj5msHPFZ5P39uAZKSyHebW2wkG/cEHn++dmelTffxGsmJ2Flj4yg\ni9nly8gW52AYQsgCoIW9EHRSkh6bGIth7KHNhsV3etos39mwAbHKgYFkHzVZKfQo1eFhnPvubpzz\n8nJYyrpVaTCIjZ11UEcggDCKzQaBLyjANWSz4bn40ZuEEDIHFOyFYO0zrTtaVVdjIc/LQzzT5YK1\nlZeHxVxPXiLpj3XDprPIt26FpV1YaGZ+V1dDlK3hEL8fYq4URNrpxM+5uSLf+hZc5hRrQsgCoEt8\nPhL1mVYKIq3nJusFe2gIsc76esQqSeZgzSLX10RPD64JPTN727bZCWTBIEasahF3OGCl9/aycxkh\nZFFQsOfDmiHc12fGK4eHEa8UMQXd2nSDi3Hmoi3uGzfgHq+uhlhXVOC6sCaQeTwQ9L17ce0MDsIL\n88gjtKwJIYuCgj0fuqSrrw/xylgM85BPn8YM4yeeEPn612F1zdV0g2QeXi82bNbNmu75bU0g0wmL\npaUQbb2hO3w4ecdOCElLKNjzoTOE29og1trCLilB/PLNN5H9+/3vU6SzjYV0SFvIawghZAFQsOdD\nW0g9PbCMQiG4NKurEY8cHIT1zU5V2cmdOqRZXyNiJi7qeDavF0LIImCW+HxoC6miAh3OlEJCmdOJ\nMi6XC9+DwWQfKUlVdJJaOGwmqcWXfxFCyDzQwhaZWbaVaDymjlcODopcvw6B7u1FZnBtLUSbnarI\nXFgTF0XYP5wQsiRoYWvr5+ZNkY4OkV/8QuRHP5rdWtTrxWAHhwMjNqNRiPXEBMSbCy+xEgiInDgh\ncvSoyNtvY2KXlaIiemUIIYuCgu33o9HJF19AhGtq0NTi2LHZLkufT+S3fkvk0UfxupwckR07RL75\nTbo3iUm8C7ygQOQ3vzF7h4uwfzghZNHQJR4MIjatO1aJiJSV4bFELkvDwGQmm2WvE4tx2hIxiXeB\n79yJKV0XLqD+Wpd2sX84IWQRLMvCVkp9RynVqpSKKaV2xz33Z0qpr5RSl5VSjy3vMFcQq6vyxAkI\nb08PZhtrensRr/7Hf8RrrNazLvOyQmuJWLFO9xJBwuKDD8It3tPD/uGEkCWxXAu7RUSeFpG/tz6o\nlNoiIr8jIltFpFZE3lFKNRmGMb3M37c8ErUZ7e7GQjo4CMu6txfu8YYGkbo6M6N3zx68/8oVkfZ2\ndLaqr6e1RGYTP91LBBvCxx5D73BCCFkCy7KwDcO4ZBjG5QRPHRGRlw3DmDAMo0NEvhKRPcv5XSuC\n1VU5MIAxmB0diEWHQnCD9/VBrAsLRZqb8drpacS0w2GRzZsh1i0tIpcu0Vois4mf7qU7oLFdLSFk\nGaxW0lmdiNy0/By4/dgslFLPKaXOKaXOBVc7a1a7KnWbUT0WcWICz0ejeK6kBG0kKyrweFeXyNQU\nHrfZIOgPPQRB57QlEk/8dC9u6gghK8C8LnGl1DsiUp3gqR8ahnFyuQdgGMZRETkqIrJ7925juZ93\nR6xtRnWSWU8Ppmxt2oR66vJyWEMa3cUsL0/ko48wQrOiYvZUJkKsLKQDGiGELIJ5BdswjG8s4XM7\nRcQ6X9J7+7HkYm0zWlWF72fPQnx1I5SHHzYzerdvF3n/fbg1vV5Y4mfOiDQ1YVLTxASS0uIbrRBC\nCCErzGq5xF8Vkd9RShUopRpEpFFEzq7S71o41jaj7e3oWlZcjJrqcBgJaCJmRq/fL+J2YyJX7u29\nzfQ0mquEQiK7d7PNJFkc8VUKvG4IIQtkuWVdTymlAiKyT0R+qZR6S0TEMIxWEXlFRL4QkTdF5I+S\nniGu0W1GXS64wUtKRL76CuIdi4l88omZ0XvvvaibbWpCTLugAJa1UohhV1bi/aWlszujERIPe4oT\nQpbBcrPETxiG4TUMo8AwjCrDMB6zPPeCYRibDMNoNgzjjeUf6gri9Yps3AjhDQaRUOb1ou3o+fMi\n167BzW2tua6oQPx6akokPx9xcN25im0myUKwVinYbNzsEUIWRfZ2Omtuhgv8wAHMs751C27usjJY\nzjomffJ2Xt34ONpLxmKY1qXj2Xv3QsDZOIXMRzAIy9oKkxcJIQskuwTbOpXLZhO5elXkrrsQx87L\nQ4a4z4c4tYgZ8/b7RU6fhjW0Yweap4jAIr9wAZY3G6eQ+UjUUIVd8gghCyR7BDtRl7OiIpR0TUwg\npr1tG6xlp3P2yM0NG9A0xWZDIlpbGyzyWIw1tmRh6CoFEVx77JJHCFkE2SPYiWYS338/OpY1N6M5\nyunT6Hr25JOzxb29HRZ1QwPi2RUV6GDldFKsycKwemx6erARfOghXj+EkAWRPYKdKH5YX4/YdUsL\nksmqqlDi9eqrsLat4q7bkZaX0zoiS4cNVQghSyR7BHuu+GEsBtG1Pn76tMivfy1y+TJc5Y2NEPdw\n2OyORuuIEELIGpK5gh0fg/Z60dVMZKaFXFY2cxRiXx/i2uPjIlu3ikQiyAbfssXsHU4IIYSsMavV\n6Sy5JGpQcfYsRmTGD2Roapo537qtDe+x2yHWdjsSzVpaOG2JEEJI0shMCztRgpkIhNxqIQcCsKhf\new2lXGVlIp2diGM/9hieC4XgFi8tpfubEEJI0shMwbYmmPX1mSVYhmEO6tBW+PQ0XOL9/ehwlpcH\nd7jbjdh1Xx9qrUMhDvoghBCSNDLTJa4TzKxzr+129ALXvZu1Fd7dLVJdDSH2+UTuvhsCfuECJni9\n9x6sbqVgif/oR2wlSQghZM3JTAvb5xN58UVkegeDEFu7HWL8yScY4FFWhkYoQ0OwpkXwmvFxtCs9\ndw7CnJsLoXc48J6BAZFjx+A2p6VNCCFkjchMwRZBU5OODri8JyaQQNbdjczvsTGRwUGIsMuF55xO\niLXLBeE+eBBif/Uqeo07nfhctxu1234/BZsQQsiakZkucb8fMenCQjPhLD8f2eI3biAeXVeHzO/q\narjPr1/H+06dEvnbv0Xc22aDaDsc5mePjyM+zulchBBC1pDMFOxgEHHn6mpY09PTEGzDgAu8vh7C\nu3EjJm+VlcEaHx3Fv+++W6S1FUM+IhG4wWMxCP7YGNzhHNhACCFkDclMl7jHIxKNYgpXYSFc4tEo\n4tEuF56/dQt12brMKxJBH3Ht+g6H8Z6dO9FH/NYtWNb19Xgda7IJIYSsIZkp2D4frOtAAPFotxsx\na6dTZP16/Ds31xTdYBDiXFZmfobdjte53SJ//uczu6axtIsQQsgak5mC7fWKfO97In/xF3BnR6MQ\n2uJifE1NiTz7rCm6Hg9c5jr5TAQu8/x8s60pBZoQQkgSyUzBDgSQRPbd78KVffUqhPu++0T27p1t\nIXu9qLnu6MDYzOpqiHxTE13fhBBCUoLMFGxra9KGBpH9+yHGnZ1wa+vGJ7rj2dmzmI3tdot8+aXI\npUuYif2979GyJoQQkhJkpmDHz77u60PW9+AgmqicOSPyxhtwiwcCM8X90CHUcDudFGtCCCEpQ2YK\ntscDl3h3N8q4urvx+OgomqAUFmLW9Z/8CUT64YdnzsMuKsJEL0IIISRFyEzB9npFXn4ZLUXHxtCO\ndHgYGeK5uRDu0lLUZw8OivzmNyIPPYT4tQieZ501IYSQFCIzG6cEAiJbtsBK7umBGzw3Fx3OOjsh\n0pEIRLu8HA1VLlxAc5ThYbyOyWaEEEJSiMwU7GAQZVnbtqErWVMT3OBTUyIjIxDv3l7UXdfViTz4\nIF7f04PY9ZEjjF8TQghJKTLTJe7xiHz8McQ6HEZ3s/Xr0Ud8bAyvUQpx7uZmNEl57DGz6xkhhBCS\nYmSmhe3zwYoeHMTPbW3IFPd4kFymFNzh69eLfPSRyC9/iSS0EyfgTieEEEJSjMwUbK8XJVuhEBqn\nTE1BrMNhCPWOHai7jkYx1cvhwMCPcFjk5EmKNiGEkJQjM13iIrCyv/51kcpKCHB7O+LWeXlwixcX\nIxt80yZkk9tsZmkXZ10TQghJMTJXsEWQ9b19O6xotxtTu3p6IOCGgUS0wUFklIvAbX7lisjNm/iZ\nQz4IIYSkCJnpEtd4PCKff47GKQMD+D4xASs7EoHFPTKC1/b1oQPa0BBEmu5xQgghKURmC7bPhx7i\nN27A/W2zISPcMCDcDge+IhFY1jYbrPLmZrjHS0vNvuOEEEJIEslsl7jXK1Jbi/Kt/n7EqnW8WgR1\n2jk56HB28yZe39xsdjxji1JCCCEpQmYLtojIhg1we1+4AMt6ZAT9xB0ONEmx20Wefx6WdDg8s6c4\nW5QSQghJETJfsJuaIM65uRij6XDgccOAu/zBBzG5a2AAmeTbtonU10OsQyH0GCeEEEKSTOYLts8n\n0tUl8s1vihw4IPLhh7C2d+5E7fXnn6O/+IEDEPOWFljazc0Qa2aJE0IISQEyX7C9XpE9e0SOH4cw\nj42JPPmkyD33oMuZjle3t4vs24dhIE4n25QSQghJKTI7S1wEZVlnz6K72Xe+g4EfnZ0o4xoaQgzb\n4cC/RZBoFgwm95gJIYSQODLfwn7jDZHz5yHSSuGxigr0F3e5MKVLBP8WYaIZIYSQlCSzLexAQOS1\n10SuXkU5V34+5l1/+aXIV1+hLWlfH0q+Nm3iLGxCCCEpS2Zb2H6/yPQ03N52Ox7zeNCOdHISzx04\ngIzx6WnErploRgghJAXJbMEOBhGz7ulBZ7P8fIhzLIZpXc89l+wjJIQQQhZEZgu2xwPBttthVY+N\nobNZczPqswkhhJA0IbNj2D4fEsyiUbPtqNst0tDAODUhhJC0IrMF2+sV+f73RR54ANng4TBi1s88\nwzg1IYSQtCKzXeKBABLPDEPk4EHOtyaEEJK2ZK6FHQhgnnU4LFJVxfnWhBBC0prMFWy/H/OsS0ow\nTpPzrQkhhKQxmSvYwSDajFph21FCCCFpSuYKtseDNqNW2HaUEEJImpK5gu3zoc3o8DAapbDtKCGE\nkDQmcwXb6xU5cgTtRnt68P3IEWaJE0IISUsyu6zL66VAE0IIyQgy18ImhBBCMggKNiGEEJIGULAJ\nIYSQNCBzY9i6LWkwiFIutiUlhBCSxmSmhc22pIQQQjKMzBRstiUlhBCSYWSmYLMtKSGEkAwjMwWb\nbUkJIYRkGMsSbKXUd5RSrUqpmFJqt+XxDUqpiFLqs9tff7f8Q10EbEtKCCEkw1hulniLiDwtIn+f\n4Ll2wzB2LfPzl4ZuS+r3oy2pxyPy0EPMEieEEJK2LEuwDcO4JCKilFqZo1lJ2JaUEEJIBrGaMeyG\n2+7wU0qpA3O9SCn1nFLqnFLqXJBJYYQQQkhC5rWwlVLviEh1gqd+aBjGyTnedktE1huG0a+Uuk9E\nfq6U2moYxnD8Cw3DOCoiR0VEdu/ebSz80AkhhJDsYV7BNgzjG4v9UMMwJkRk4va/P1FKtYtIk4ic\nW/QREkIIIWR1XOJKKY9SKuf2vzeKSKOIXF2N30UIIYRkA8st63pKKRUQkX0i8kul1Fu3n3pQRC4q\npT4TkeMi8gPDMAaWd6iEEEJI9rLcLPETInIiweP/KCL/uJzPJoQQQohJZnY6I5Ko98EAAAPBSURB\nVIQQQjIMCjYhhBCSBlCwCSGEkDSAgk0IIYSkARRsQgghJA2gYBNCCCFpAAWbEEIISQMo2IQQQkga\nQMEmhBBC0gBlGKkzIEspFRSR62v8aytEpG+NfyeZDc9D8uE5SA14HpLPWp+DesMwPPO9KKUEOxko\npc4ZhrE72ceR7fA8JB+eg9SA5yH5pOo5oEucEEIISQMo2IQQQkgaQMEWOZrsAyAiwvOQCvAcpAY8\nD8knJc9B1sewCSGEkHSAFjYhhBCSBlCwCSGEkDQgawVbKfUdpVSrUiqmlNod99yfKaW+UkpdVko9\nlqxjzCaUUv9RKdWplPrs9tfjyT6mbEEpdej2tf6VUurfJft4shWl1DWl1Oe3r/9zyT6ebEEp9ROl\nVK9SqsXyWJlS6ldKqbbb393JPEZN1gq2iLSIyNMi8r71QaXUFhH5HRHZKiKHROR/KKVy1v7wspK/\nNgxj1+2v15N9MNnA7Wv7v4vIYRHZIiK/e/seIMnhkdvXf8rVAGcwLwrWeiv/TkTeNQyjUUTevf1z\n0slawTYM45JhGJcTPHVERF42DGPCMIwOEflKRPas7dERsmbsEZGvDMO4ahhGVEReFtwDhGQFhmG8\nLyIDcQ8fEZGXbv/7JRH57TU9qDnIWsG+A3UictPyc+D2Y2T1eV4pdfG2iyolXFBZAK/31MEQkXeU\nUp8opZ5L9sFkOVWGYdy6/e9uEalK5sFocpN9AKuJUuodEalO8NQPDcM4udbHk+3c6XyIyN+KyH8S\nLFr/SUT+q4j8wdodHSFJ52uGYXQqpSpF5FdKqS9vW38kiRiGYSilUqL+OaMF2zCMbyzhbZ0iss7y\ns/f2Y2SZLPR8KKWOichrq3w4BPB6TxEMw+i8/b1XKXVCEK6gYCeHHqVUjWEYt5RSNSLSm+wDEqFL\nPBGvisjvKKUKlFINItIoImeTfEwZz+2bQvOUICmQrD5+EWlUSjUopfIFCZevJvmYsg6lVKFSqlj/\nW0QOCu+BZPKqiDxz+9/PiEhKeGQz2sK+E0qpp0Tkb0TEIyK/VEp9ZhjGY4ZhtCqlXhGRL0RkSkT+\nyDCM6WQea5bwl0qpXQKX+DUR+RfJPZzswDCMKaXUvxKRt0QkR0R+YhhGa5IPKxupEpETSikRrMv/\n2zCMN5N7SNmBUuqnIvKwiFQopQIi8h9E5C9E5BWl1D8XjHz+bvKO0IStSQkhhJA0gC5xQgghJA2g\nYBNCCCFpAAWbEEIISQMo2IQQQkgaQMEmhBBC0gAKNiGEEJIGULAJIYSQNOD/AzNQv9x14Lk1AAAA\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f31383bdeb8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 8))\n",
    "plot_out = plt.plot(x_data,y_data,'ro',alpha=0.3)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We will define this simple neural network one-hidden layer and 100 nodes:\n",
    "$Y = W_{out} \\max( W_{in} X + b_{in}, 0) + b_{out}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# N is batch size; D_in is input dimension;\n",
    "# H is hidden dimension; D_out is output dimension.\n",
    "# from (https://github.com/jcjohnson/pytorch-examples)\n",
    "N, D_in, H, D_out = NSAMPLE, 1, 100, 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Create random Tensors to hold inputs and outputs, and wrap them in Variables.\n",
    "# since NSAMPLE is not large, we train entire dataset in one minibatch.\n",
    "x = Variable(torch.from_numpy(x_data.reshape(NSAMPLE, D_in)))\n",
    "y = Variable(torch.from_numpy(y_data.reshape(NSAMPLE, D_out)), requires_grad=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "model = torch.nn.Sequential(\n",
    "          torch.nn.Linear(D_in, H),\n",
    "          torch.nn.ReLU(),\n",
    "          torch.nn.Linear(H, D_out),\n",
    "        )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can define a loss function as the sum of square error of the output vs the data (we can add regularisation if we want)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "loss_fn = torch.nn.MSELoss()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We will also define a training loop to minimise the loss function later. We can use the RMSProp gradient descent optimisation method."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0 43.28170394897461\n",
      "10000 2.383552074432373\n",
      "20000 1.9408857822418213\n",
      "30000 1.7749266624450684\n",
      "40000 1.6699488162994385\n",
      "50000 1.5811467170715332\n",
      "60000 1.495665431022644\n",
      "70000 1.4401085376739502\n",
      "80000 1.404916524887085\n",
      "90000 1.3641223907470703\n"
     ]
    }
   ],
   "source": [
    "learning_rate = 0.01\n",
    "optimizer = torch.optim.RMSprop(model.parameters(), lr=learning_rate, alpha=0.8)\n",
    "for t in range(100000):\n",
    "  y_pred = model(x)\n",
    "  loss = loss_fn(y_pred, y)\n",
    "  if (t % 10000 == 0):\n",
    "    print(t, loss.data[0])\n",
    "  optimizer.zero_grad()\n",
    "  loss.backward()\n",
    "  optimizer.step()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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MJQU+/HwdtZUFBpIWPZ0FvFUhKgMp+nMl3BocyjdYuBBuv33WJQ6qS1xRlIkn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\nDRZoKO6BmhCOx89AugFqW6TOmMnI4jAMibSvZN13upHt7pa69fi4DFj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KAAAg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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f3134ffb9b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x_test = np.float32(np.random.uniform(-10.5, 10.5, (1, NSAMPLE))).T\n",
    "x_test = Variable(torch.from_numpy(x_test.reshape(NSAMPLE, D_in)))\n",
    "y_test = model(x_test)\n",
    "plt.figure(figsize=(8, 8))\n",
    "plt.plot(x_data,y_data,'ro', x_test.data.numpy(),y_test.data.numpy(),'bo',alpha=0.3)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "We see that the neural network can fit this sinusoidal data quite well, as expected. However, this type of fitting method only works well when the function we want to approximate with the neural net is a one-to-one, or many-to-one function. Take for example, if we invert the training data:\n",
    "$x=7.0 \\sin( 0.75 y) + 0.5 y+ \\epsilon$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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WMomrNXllp6Pdt89ezJFK2fdwuQhzm1B7Zo94MklleChkLwvJ9rzZBrsMDyPa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\nVCgrCBVuRVEURVlB/P+mAE9WGxZ33QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f31383bdfd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "temp_data = x_data\n",
    "x_data = y_data\n",
    "y_data = temp_data\n",
    "\n",
    "plt.figure(figsize=(8, 8))\n",
    "plot_out = plt.plot(x_data,y_data,'ro',alpha=0.3)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If we were to use the same method to fit this inverted data, obviously it wouldn't work well, and we would expect to see a neural network trained to fit only to the square mean of the data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0 59.484222412109375\n",
      "300 23.014665603637695\n",
      "600 22.61995506286621\n",
      "900 22.459156036376953\n",
      "1200 22.369720458984375\n",
      "1500 22.29016876220703\n",
      "1800 22.220983505249023\n",
      "2100 22.154090881347656\n",
      "2400 22.101402282714844\n",
      "2700 22.068389892578125\n"
     ]
    }
   ],
   "source": [
    "x = Variable(torch.from_numpy(x_data.reshape(NSAMPLE, D_in)))\n",
    "y = Variable(torch.from_numpy(y_data.reshape(NSAMPLE, D_out)), requires_grad=False)\n",
    "learning_rate = 0.01\n",
    "optimizer = torch.optim.RMSprop(model.parameters(), lr=learning_rate, alpha=0.8)\n",
    "for t in range(3000):\n",
    "  y_pred = model(x)\n",
    "  loss = loss_fn(y_pred, y)\n",
    "  if (t % 300 == 0):\n",
    "    print(t, loss.data[0])\n",
    "  optimizer.zero_grad()\n",
    "  loss.backward()\n",
    "  optimizer.step()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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F+NprGYt2uWhmOZ0Ud79fP/f8eca6k0kmthmGnpwVCPD4RYu41hUrmGnu81Hc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\nqHAriqIoSgqhwq0oiqIoKcT/A8ikgxbYwmG1AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f3134eebd30>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x_test = np.float32(np.random.uniform(-10.5, 10.5, (1, NSAMPLE))).T\n",
    "x_test = Variable(torch.from_numpy(x_test.reshape(NSAMPLE, D_in)))\n",
    "y_test = model(x_test)\n",
    "plt.figure(figsize=(8, 8))\n",
    "plt.plot(x_data,y_data,'ro', x_test.data.numpy(),y_test.data.numpy(),'bo',alpha=0.3)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Our current model only predicts one output value for each input, so this approach will fail miserably. What we want is a model that has the capacity to predict a range of different output values for each input. In the next section we implement a Mixture Density Network (MDN) to achieve this task.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Mixture Density Networks ##"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "Our current model only predicts one output value for each input, so this approach will fail. What we want is a model that has the capacity to predict a range of different output values for each input. In the next section we implement a *Mixture Density Network (MDN)* to do achieve this task.\n",
    "\n",
    "Mixture Density Networks, developed by Christopher Bishop in the 1990s, is an attempt to address this problem. Rather to have the network predict a single output value, the MDN predicts an entire *probability distribution* of the output, so we can sample several possible different output values for a given input.\n",
    "\n",
    "This concept is quite powerful, and can be employed many current areas of machine learning research. It also allows us to calculate some sort of confidence factor in the predictions that the network is making.\n",
    "\n",
    "The inverse sinusoidal data we chose is not just for a toy problem, as there are applications in the field of robotics, for example, where we want to determine which angle we need to move the robot arm to achieve a target location. MDNs are also used to model handwriting, where the next stroke is drawn from a probability distribution of multiple possibilities, rather than sticking to one prediction.\n",
    "\n",
    "Bishop's implementation of MDNs will predict a class of probability distributions called Mixture Gaussian distributions, where the output value is modelled as a sum of many gaussian random values, each with different means and standard deviations. So for each input $x$, we will predict a probability distribution function $P(Y = y | X = x)$ that is approximated by a weighted sum of different gaussian distributions."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$P(Y = y | X = x) = \\sum_{k=0}^{K-1} \\Pi_{k}(x) \\phi(y, \\mu_{k}(x), \\sigma_{k}(x)), \\sum_{k=0}^{K-1} \\Pi_{k}(x) = 1$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Our network will therefore predict the *parameters* of the pdf, in our case the set of $\\mu$, $\\sigma$, and $\\Pi$ values for each input $x$. Rather than predict $y$ directly, we will need to sample from our distribution to sample $y$. This will allow us to have multiple possible values of $y$ for a given $x$.\n",
    "\n",
    "Each of the parameters $\\Pi_{k}(x), \\mu_{k}(x), \\sigma_{k}(x)$ of the distribution will be determined by the neural network, as a function of the input $x$. There is a restriction that the sum of $\\Pi_{k}(x)$ add up to one, to ensure that the pdf integrates to 1. In addition, $\\sigma_{k}(x)$ must be strictly positive."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In our implementation, we will use a neural network of one hidden later with 100 nodes, and also generate 20 mixtures, hence there will be 60 actual outputs of our neural network of a single input. Our definition will be split into 2 parts:\n",
    "\n",
    "$Z = W_{out} \\max( W_{in} X + b_{in}, 0) + b_{out}$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the first part, $Z$ is a vector of 60 values that will be then splitup into three equal parts, $[Z_{\\Pi}, Z_{\\sigma}, Z_{\\mu}] = Z$, where each of $Z_{\\Pi}$, $Z_{\\sigma}$, $Z_{\\mu}$ are vectors of length 20."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this PyTorch implementation, unlike the TF version, we will implement this operation with 3 seperate Linear layers, rather than splitting a large $Z$, for clarity:\n",
    "\n",
    "$Z_{\\Pi} = W_{\\Pi} \\max( W_{in} X + b_{in}, 0) + b_{\\Pi}$\n",
    "\n",
    "$Z_{\\sigma} = W_{\\sigma} \\max( W_{in} X + b_{in}, 0) + b_{\\sigma}$\n",
    "\n",
    "$Z_{\\mu} = W_{\\mu} \\max( W_{in} X + b_{in}, 0) + b_{\\mu}$\n",
    "\n",
    "In the second part, the parameters of the pdf will be defined as below to satisfy the earlier conditions:\n",
    "\n",
    "$\\Pi = \\frac{\\exp(Z_{\\Pi})}{\\sum_{i=0}^{20} exp(Z_{\\Pi, i})}, \\\\ \\sigma = \\exp(Z_{\\sigma}), \\\\ \\mu = Z_{\\mu}$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$\\Pi_{k}$ are put into a *softmax* operator to ensure that the sum adds to one, and that each mixture probability is positive. Each $\\sigma_{k}$ will also be positive due to the exponential operator.\n",
    "\n",
    "Below is the PyTorch implementation of the MDN network:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "NHIDDEN = 100 # hidden units\n",
    "KMIX = 20 # number of mixtures"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "class MDN(nn.Module):\n",
    "  def __init__(self, hidden_size, num_mixtures):\n",
    "    super(MDN, self).__init__()\n",
    "    self.fc_in = nn.Linear(1, hidden_size) \n",
    "    self.relu = nn.ReLU()\n",
    "    self.pi_out = torch.nn.Sequential(\n",
    "          nn.Linear(hidden_size, num_mixtures),\n",
    "          nn.Softmax()\n",
    "        )\n",
    "    self.sigma_out = nn.Linear(hidden_size, num_mixtures)\n",
    "    self.mu_out = nn.Linear(hidden_size, num_mixtures)  \n",
    "    \n",
    "  def forward(self, x):\n",
    "    out = self.fc_in(x)\n",
    "    out = self.relu(out)\n",
    "    out_pi = self.pi_out(out)\n",
    "    out_sigma = torch.exp(self.sigma_out(out))\n",
    "    out_mu = self.mu_out(out)\n",
    "    return (out_pi, out_sigma, out_mu)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's define the inverted data we want to train our MDN to predict later. As this is a more involved prediction task, I used a higher number of samples compared to the simple data fitting task earlier."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "NSAMPLE = 2500\n",
    "\n",
    "y_data = np.float32(np.random.uniform(-10.5, 10.5, (1, NSAMPLE))).T\n",
    "r_data = np.float32(np.random.normal(size=(NSAMPLE,1))) # random noise\n",
    "x_data = np.float32(np.sin(0.75*y_data)*7.0+y_data*0.5+r_data*1.0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "x_train = Variable(torch.from_numpy(x_data.reshape(NSAMPLE, 1)))\n",
    "y_train = Variable(torch.from_numpy(y_data.reshape(NSAMPLE, 1)), requires_grad=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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LZdzVZ84g4gMDnNPSgpWbzyPap0/j+s7nnciLYJ23t9OP+8EHcadPT+MOn53l2PXrsYY3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f/LLxPOP3yYpLZCAchrLbgIrlrEmrSYTPNkIXGT6WbVQuViX/3qhcBSt9rWJvLd7wLGfN6N5mxu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\nogj4P9uM7GjHz/cGAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f3134e84048>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 8))\n",
    "plt.plot(x_train.data.numpy(),y_train.data.numpy(),'ro', alpha=0.3)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We cannot simply use the min square error L2 lost function in this task the output is an entire description of the probability distribution. A more suitable loss function is to minimise the logarithm of the likelihood of the distribution vs the training data:\n",
    "\n",
    "$CostFunction(y | x) = -\\log[ \\sum_{k}^K \\Pi_{k}(x) \\phi(y, \\mu(x), \\sigma(x)) ]$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So for every $(x,y)$ point in the training data set, we can compute a cost function based on the predicted distribution versus the actual points, and then attempt the minimise the sum of all the costs combined. To those who are familiar with logistic regression and cross entropy minimisation of softmax, this is a similar approach, but with non-discretised states.\n",
    "\n",
    "We have to implement this cost function ourselves:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "oneDivSqrtTwoPI = 1.0 / math.sqrt(2.0*math.pi) # normalisation factor for gaussian.\n",
    "def gaussian_distribution(y, mu, sigma):\n",
    "  # braodcast subtraction with mean and normalization to sigma\n",
    "  result = (y.expand_as(mu) - mu) * torch.reciprocal(sigma)\n",
    "  result = - 0.5 * (result * result)\n",
    "  return (torch.exp(result) * torch.reciprocal(sigma)) * oneDivSqrtTwoPI"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def mdn_loss_function(out_pi, out_sigma, out_mu, y):\n",
    "  epsilon = 1e-3\n",
    "  result = gaussian_distribution(y, out_mu, out_sigma) * out_pi\n",
    "  result = torch.sum(result, dim=1)\n",
    "  result = - torch.log(epsilon + result)\n",
    "  return torch.mean(result)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's define our model, and use the Adam optimizer to train our model below:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "model = MDN(hidden_size=NHIDDEN, num_mixtures=KMIX)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "learning_rate = 0.00001\n",
    "optimizer = torch.optim.Adam(model.parameters(), lr=learning_rate)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0 4.988687992095947\n",
      "1000 3.4866292476654053\n",
      "2000 3.1824162006378174\n",
      "3000 2.9246561527252197\n",
      "4000 2.7802634239196777\n",
      "5000 2.672682523727417\n",
      "6000 2.5783588886260986\n",
      "7000 2.5089898109436035\n",
      "8000 2.4450607299804688\n",
      "9000 2.398449420928955\n",
      "10000 2.3576488494873047\n",
      "11000 2.3166143894195557\n",
      "12000 2.276536464691162\n",
      "13000 2.239301919937134\n",
      "14000 2.1948606967926025\n",
      "15000 2.1471312046051025\n",
      "16000 2.0966522693634033\n",
      "17000 2.042475461959839\n",
      "18000 1.9856466054916382\n",
      "19000 1.9275684356689453\n"
     ]
    }
   ],
   "source": [
    "for t in range(20000):\n",
    "  (out_pi, out_sigma, out_mu) = model(x_train)\n",
    "  loss = mdn_loss_function(out_pi, out_sigma, out_mu, y_train)\n",
    "  if (t % 1000 == 0):\n",
    "    print(t, loss.data[0])\n",
    "  optimizer.zero_grad()\n",
    "  loss.backward()\n",
    "  optimizer.step()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We want to use our network to generate the parameters of the pdf for us to sample from. In the code below, we will sample $M=10$ values of $y$ for every $x$ input, and compare the sampled results with the training data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "x_test_data = np.float32(np.random.uniform(-15, 15, (1, NSAMPLE))).T\n",
    "x_test = Variable(torch.from_numpy(x_test_data.reshape(NSAMPLE, 1)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "(out_pi_test, out_sigma_test, out_mu_test) = model(x_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "out_pi_test_data = out_pi_test.data.numpy()\n",
    "out_sigma_test_data = out_sigma_test.data.numpy()\n",
    "out_mu_test_data = out_mu_test.data.numpy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def get_pi_idx(x, pdf):\n",
    "  N = pdf.size\n",
    "  accumulate = 0\n",
    "  for i in range(0, N):\n",
    "    accumulate += pdf[i]\n",
    "    if (accumulate >= x):\n",
    "      return i\n",
    "  print('error with sampling ensemble')\n",
    "  return -1\n",
    "\n",
    "def generate_ensemble(M = 10):\n",
    "  # for each point in X, generate M=10 ensembles\n",
    "  NTEST = x_test_data.size\n",
    "  result = np.random.rand(NTEST, M) # initially random [0, 1]\n",
    "  rn = np.random.randn(NTEST, M) # normal random matrix (0.0, 1.0)\n",
    "  mu = 0\n",
    "  std = 0\n",
    "  idx = 0\n",
    "\n",
    "  # transforms result into random ensembles\n",
    "  for j in range(0, M):\n",
    "    for i in range(0, NTEST):\n",
    "      idx = get_pi_idx(result[i, j], out_pi_test_data[i])\n",
    "      mu = out_mu_test_data[i, idx]\n",
    "      std = out_sigma_test_data[i, idx]\n",
    "      result[i, j] = mu + rn[i, j]*std\n",
    "  return result"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "y_test_data = generate_ensemble()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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CTef58gNs5ggRptnB21SRIouXJsb5L/zR+7NlrWKYz/E8GuVzHcc2Mk8YN3kW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cmI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Mx9thLZxo2yyLFI2DkjLQM2cAI4ALwe52ddtm3vnvv4wga3K1HiHg9jzHbgE8AO4MPA/zTG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\nAVsppZRKARqwlVJKqRSgAVsppZRKAf8fWGvpivK1KrIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f3134f5a908>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 8))\n",
    "plt.plot(x_test_data,y_test_data,'b.', x_data,y_data,'r.',alpha=0.3)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the above graph, we plot out the generated data we sampled from the MDN distribution, in blue. We also plot the original training data in red over the predictions. Apart from a few outliers, the distributions seem to match the data. We can also plot a graph of $\\mu(x)$ as well to interpret what the neural net is actually doing:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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MmfzUfL47/LvcPOnm01pBowRb8a1YXrychz5+iBpfTafrpmdMZ+XClaqOu69y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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f311421cef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 8))\n",
    "plt.plot(x_test_data,out_mu_test_data,'g.', x_data,y_data,'r.',alpha=0.3)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the plot above, we see that for every point on the $x$-axis, there are multiple lines or states where $y$ may be, and we select these states with probabilities modelled by $\\Pi$ ."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
